Is there an English translation of Jacobi's work on mechanics?

AI Thread Summary
The discussion centers on finding an English translation of Carl Gustav Jacob Jacobi's work on mechanics, particularly his lectures on dynamics and the Hamilton-Jacobi formulation. Participants mention various historical texts that cover Newtonian, Lagrangian, and Hamiltonian mechanics, including works by Newton, Euler, and Poisson. One user suggests that Jacobi's lectures on dynamics may be available in English, while another references a specific edition of Jacobi's work published in 2009. The conversation emphasizes the importance of researching Jacobi's contributions before seeking further clarification. Overall, the thread highlights the challenge of accessing Jacobi's original works in English.
jonjacson
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Hi folks,

I am interested in the historical original documents.

Newtonian mechanics could be learned from--> Principia and Euler's Mechanica
Lagrangian mechanics--> Analytical Mechanics
Poisson--> I found his teatrise on mechanics where I expect to find out his "brackets", but I have not yet read the books.
Hamiltonian mechanics--> I have found some papers "On a general method in dynamics"But I have no idea about the original papers of the "Hamilton Jacobi" formulation of mechanics. Is there anywhere an english version of Jacobi's work on this topic?

Is there any book following the historical work from Jacobi?

Thanks
 
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dextercioby said:
Friend, in the era of internet, posters are required to read https://en.wikipedia.org/wiki/Carl_Gustav_Jacob_Jacobi first, then come to PF for questions, if any left.

Do you mean this one?

Jacobi's lectures on dynamics

Or this one?

Jacobi, Carl Gustav Jacob (1996) [1848], Vorlesungen über analytische Mechanik, Dokumente zur Geschichte der Mathematik [Documents on the History of Mathematics], 8, Freiburg: Deutsche Mathematiker Vereinigung, doi:10.1007/978-3-322-80289-7, ISBN 978-3-528-06692-5, MR 1414679

If it is the second one I don't know german.
 
The first should be. Jacobi, Carl Gustav Jacob (2009) [1866], Clebsch, A.; Balagangadharan, K.; Banerjee, Biswarup, eds., Jacobi's lectures on dynamics, Texts and Readings in Mathematics, 51, New Delhi: Hindustan Book Agency, ISBN 9788185931913, MR 2569315
 
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